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Show that $a,b$ are units in a ring

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#ring-theory
105
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Injective ring homomorphism on $A/I\cap J \rightarrow A/I\times A/J$

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#ring-theory
145
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Open and closed sets for j-Spec $A$.

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#general-topology #ring-theory #commutative-algebra
470
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Maximal ideal in $K[x_1,...,x_n]$

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#abstract-algebra #ring-theory
49
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Question regarding a ring homomorphism.

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#ring-theory
342
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Ideal in ring of fractions

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#abstract-algebra #ring-theory #ideals
6.5k
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Is $R$ a PID if every submodule of a free $R$-module is free?

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#abstract-algebra #ring-theory #commutative-algebra #modules
465
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Finding all ideals in $\mathbb{Q}[x]/I$, where $I$ is the ideal generated by $p(x)=x^2(x^2+x+1)$

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#abstract-algebra #ring-theory #proof-verification #ideals
78
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Writing a particular polynomial as product of irreducibles in various rings.

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#abstract-algebra #polynomials #ring-theory
51
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To prove given $ r \cdot f_1+f_2\cdot (s+1)$ one who knows $f_2$ cannot find out what $f_1$ is

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#abstract-algebra #probability-distributions #polynomials #ring-theory
2.1k
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Direct summand of modules proof

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#abstract-algebra #ring-theory #modules
160
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Show that field of fraction of a commutative domain is an indecomposable module which is not finitely generated

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#abstract-algebra #ring-theory #modules
952
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When considering the commutative ring $R$ over itself, if its submodule is free, then the submodule equals to the module?

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#ring-theory #modules
40
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Is $r_1 \cdot f_1 + r_2 \cdot f_2 $ uniformly distributed?

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#algebraic-geometry #probability-distributions #polynomials #ring-theory #uniform-distribution
144
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Rings and Semi-simple rings

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#abstract-algebra #group-theory #ring-theory

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